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Author*The author of this computation has been verified*
R Software Modulerwasp_twosampletests_mean.wasp
Title produced by softwarePaired and Unpaired Two Samples Tests about the Mean
Date of computationTue, 16 Dec 2014 19:38:10 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/16/t14187587227o59qlk27ohtcc9.htm/, Retrieved Thu, 16 May 2024 17:10:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=269909, Retrieved Thu, 16 May 2024 17:10:07 +0000
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Estimated Impact50
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-       [Paired and Unpaired Two Samples Tests about the Mean] [] [2014-12-16 19:38:10] [8fb8f54f5311a3bdb9fc3d530bb27adb] [Current]
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Dataseries X:
149 12.9
139 12.2
148 12.8
158 7.4
128 6.7
224 12.6
159 14.8
105 13.3
159 11.1
167 8.2
165 11.4
159 6.4
119 10.6
176 12
54 6.3
91 11.3
163 11.9
124 9.3
137 9.6
121 10
153 6.4
148 13.8
221 10.8
188 13.8
149 11.7
244 10.9
148 16.1
92 13.4
150 9.9
153 11.5
94 8.3
156 11.7
132 9
161 9.7
105 10.8
97 10.3
151 10.4
131 12.7
166 9.3
157 11.8
111 5.9
145 11.4
162 13
163 10.8
59 12.3
187 11.3
109 11.8
90 7.9
105 12.7
83 12.3
116 11.6
42 6.7
148 10.9
155 12.1
125 13.3
116 10.1
128 5.7
138 14.3
49 8
96 13.3
164 9.3
162 12.5
99 7.6
202 15.9
186 9.2
66 9.1
183 11.1
214 13
188 14.5
104 12.2
177 12.3
126 11.4
76 8.8
99 14.6
139 12.6
162 13
108 12.6
159 13.2
74 9.9
110 7.7
96 10.5
116 13.4
87 10.9
97 4.3
127 10.3
106 11.8
80 11.2
74 11.4
91 8.6
133 13.2
74 12.6
114 5.6
140 9.9
95 8.8
98 7.7
121 9
126 7.3
98 11.4
95 13.6
110 7.9
70 10.7
102 10.3
86 8.3
130 9.6
96 14.2
102 8.5
100 13.5
94 4.9
52 6.4
98 9.6
118 11.6
99 11.1
48 4.35
50 12.7
150 18.1
154 17.85
109 16.6
68 12.6
194 17.1
158 19.1
159 16.1
67 13.35
147 18.4
39 14.7
100 10.6
111 12.6
138 16.2
101 13.6
131 18.9
101 14.1
114 14.5
165 16.15
114 14.75
111 14.8
75 12.45
82 12.65
121 17.35
32 8.6
150 18.4
117 16.1
71 11.6
165 17.75
154 15.25
126 17.65
149 16.35
145 17.65
120 13.6
109 14.35
132 14.75
172 18.25
169 9.9
114 16
156 18.25
172 16.85
68 14.6
89 13.85
167 18.95
113 15.6
115 14.85
78 11.75
118 18.45
87 15.9
173 17.1
2 16.1
162 19.9
49 10.95
122 18.45
96 15.1
100 15
82 11.35
100 15.95
115 18.1
141 14.6
165 15.4
165 15.4
110 17.6
118 13.35
158 19.1
146 15.35
49 7.6
90 13.4
121 13.9
155 19.1
104 15.25
147 12.9
110 16.1
108 17.35
113 13.15
115 12.15
61 12.6
60 10.35
109 15.4
68 9.6
111 18.2
77 13.6
73 14.85
151 14.75
89 14.1
78 14.9
110 16.25
220 19.25
65 13.6
141 13.6
117 15.65
122 12.75
63 14.6
44 9.85
52 12.65
131 19.2
101 16.6
42 11.2
152 15.25
107 11.9
77 13.2
154 16.35
103 12.4
96 15.85
175 18.15
57 11.15
112 15.65
143 17.75
49 7.65
110 12.35
131 15.6
167 19.3
56 15.2
137 17.1
86 15.6
121 18.4
149 19.05
168 18.55
140 19.1
88 13.1
168 12.85
94 9.5
51 4.5
48 11.85
145 13.6
66 11.7
85 12.4
109 13.35
63 11.4
102 14.9
162 19.9
86 11.2
114 14.6
164 17.6
119 14.05
126 16.1
132 13.35
142 11.85
83 11.95
94 14.75
81 15.15
166 13.2
110 16.85
64 7.85
93 7.7
104 12.6
105 7.85
49 10.95
88 12.35
95 9.95
102 14.9
99 16.65
63 13.4
76 13.95
109 15.7
117 16.85
57 10.95
120 15.35
73 12.2
91 15.1
108 17.75
105 15.2
117 14.6
119 16.65




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269909&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269909&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269909&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Two Sample t-test (paired)
Difference: Mean1 - Mean2103.718592057762
t-stat44.5951995634872
df276
p-value3.649498335775e-128
H0 value0
Alternativetwo.sided
CI Level0.95
CI[99.1400714285772,108.297112686946]
F-test to compare two variances
F-stat136.447075146287
df276
p-value0
H0 value1
Alternativetwo.sided
CI Level0.95
CI[107.715855529529,172.841818174787]

\begin{tabular}{lllllllll}
\hline
Two Sample t-test (paired) \tabularnewline
Difference: Mean1 - Mean2 & 103.718592057762 \tabularnewline
t-stat & 44.5951995634872 \tabularnewline
df & 276 \tabularnewline
p-value & 3.649498335775e-128 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.95 \tabularnewline
CI & [99.1400714285772,108.297112686946] \tabularnewline
F-test to compare two variances \tabularnewline
F-stat & 136.447075146287 \tabularnewline
df & 276 \tabularnewline
p-value & 0 \tabularnewline
H0 value & 1 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.95 \tabularnewline
CI & [107.715855529529,172.841818174787] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269909&T=1

[TABLE]
[ROW][C]Two Sample t-test (paired)[/C][/ROW]
[ROW][C]Difference: Mean1 - Mean2[/C][C]103.718592057762[/C][/ROW]
[ROW][C]t-stat[/C][C]44.5951995634872[/C][/ROW]
[ROW][C]df[/C][C]276[/C][/ROW]
[ROW][C]p-value[/C][C]3.649498335775e-128[/C][/ROW]
[ROW][C]H0 value[/C][C]0[/C][/ROW]
[ROW][C]Alternative[/C][C]two.sided[/C][/ROW]
[ROW][C]CI Level[/C][C]0.95[/C][/ROW]
[ROW][C]CI[/C][C][99.1400714285772,108.297112686946][/C][/ROW]
[ROW][C]F-test to compare two variances[/C][/ROW]
[ROW][C]F-stat[/C][C]136.447075146287[/C][/ROW]
[ROW][C]df[/C][C]276[/C][/ROW]
[ROW][C]p-value[/C][C]0[/C][/ROW]
[ROW][C]H0 value[/C][C]1[/C][/ROW]
[ROW][C]Alternative[/C][C]two.sided[/C][/ROW]
[ROW][C]CI Level[/C][C]0.95[/C][/ROW]
[ROW][C]CI[/C][C][107.715855529529,172.841818174787][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269909&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269909&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Two Sample t-test (paired)
Difference: Mean1 - Mean2103.718592057762
t-stat44.5951995634872
df276
p-value3.649498335775e-128
H0 value0
Alternativetwo.sided
CI Level0.95
CI[99.1400714285772,108.297112686946]
F-test to compare two variances
F-stat136.447075146287
df276
p-value0
H0 value1
Alternativetwo.sided
CI Level0.95
CI[107.715855529529,172.841818174787]







Welch Two Sample t-test (paired)
Difference: Mean1 - Mean2103.718592057762
t-stat44.5951995634872
df276
p-value3.649498335775e-128
H0 value0
Alternativetwo.sided
CI Level0.95
CI[99.1400714285772,108.297112686946]

\begin{tabular}{lllllllll}
\hline
Welch Two Sample t-test (paired) \tabularnewline
Difference: Mean1 - Mean2 & 103.718592057762 \tabularnewline
t-stat & 44.5951995634872 \tabularnewline
df & 276 \tabularnewline
p-value & 3.649498335775e-128 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.95 \tabularnewline
CI & [99.1400714285772,108.297112686946] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269909&T=2

[TABLE]
[ROW][C]Welch Two Sample t-test (paired)[/C][/ROW]
[ROW][C]Difference: Mean1 - Mean2[/C][C]103.718592057762[/C][/ROW]
[ROW][C]t-stat[/C][C]44.5951995634872[/C][/ROW]
[ROW][C]df[/C][C]276[/C][/ROW]
[ROW][C]p-value[/C][C]3.649498335775e-128[/C][/ROW]
[ROW][C]H0 value[/C][C]0[/C][/ROW]
[ROW][C]Alternative[/C][C]two.sided[/C][/ROW]
[ROW][C]CI Level[/C][C]0.95[/C][/ROW]
[ROW][C]CI[/C][C][99.1400714285772,108.297112686946][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269909&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269909&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Welch Two Sample t-test (paired)
Difference: Mean1 - Mean2103.718592057762
t-stat44.5951995634872
df276
p-value3.649498335775e-128
H0 value0
Alternativetwo.sided
CI Level0.95
CI[99.1400714285772,108.297112686946]







Wicoxon rank sum test with continuity correction (paired)
W38502
p-value3.58175754236782e-47
H0 value0
Alternativetwo.sided
Kolmogorov-Smirnov Test to compare Distributions of two Samples
KS Statistic0.996389891696751
p-value0
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples
KS Statistic0.447653429602888
p-value0

\begin{tabular}{lllllllll}
\hline
Wicoxon rank sum test with continuity correction (paired) \tabularnewline
W & 38502 \tabularnewline
p-value & 3.58175754236782e-47 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
Kolmogorov-Smirnov Test to compare Distributions of two Samples \tabularnewline
KS Statistic & 0.996389891696751 \tabularnewline
p-value & 0 \tabularnewline
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples \tabularnewline
KS Statistic & 0.447653429602888 \tabularnewline
p-value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269909&T=3

[TABLE]
[ROW][C]Wicoxon rank sum test with continuity correction (paired)[/C][/ROW]
[ROW][C]W[/C][C]38502[/C][/ROW]
[ROW][C]p-value[/C][C]3.58175754236782e-47[/C][/ROW]
[ROW][C]H0 value[/C][C]0[/C][/ROW]
[ROW][C]Alternative[/C][C]two.sided[/C][/ROW]
[ROW][C]Kolmogorov-Smirnov Test to compare Distributions of two Samples[/C][/ROW]
[ROW][C]KS Statistic[/C][C]0.996389891696751[/C][/ROW]
[ROW][C]p-value[/C][C]0[/C][/ROW]
[ROW][C]Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples[/C][/ROW]
[ROW][C]KS Statistic[/C][C]0.447653429602888[/C][/ROW]
[ROW][C]p-value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269909&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269909&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Wicoxon rank sum test with continuity correction (paired)
W38502
p-value3.58175754236782e-47
H0 value0
Alternativetwo.sided
Kolmogorov-Smirnov Test to compare Distributions of two Samples
KS Statistic0.996389891696751
p-value0
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples
KS Statistic0.447653429602888
p-value0



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = two.sided ; par5 = paired ; par6 = 0.0 ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = two.sided ; par5 = paired ; par6 = 0.0 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1) #column number of first sample
par2 <- as.numeric(par2) #column number of second sample
par3 <- as.numeric(par3) #confidence (= 1 - alpha)
if (par5 == 'unpaired') paired <- FALSE else paired <- TRUE
par6 <- as.numeric(par6) #H0
z <- t(y)
if (par1 == par2) stop('Please, select two different column numbers')
if (par1 < 1) stop('Please, select a column number greater than zero for the first sample')
if (par2 < 1) stop('Please, select a column number greater than zero for the second sample')
if (par1 > length(z[1,])) stop('The column number for the first sample should be smaller')
if (par2 > length(z[1,])) stop('The column number for the second sample should be smaller')
if (par3 <= 0) stop('The confidence level should be larger than zero')
if (par3 >= 1) stop('The confidence level should be smaller than zero')
(r.t <- t.test(z[,par1],z[,par2],var.equal=TRUE,alternative=par4,paired=paired,mu=par6,conf.level=par3))
(v.t <- var.test(z[,par1],z[,par2],conf.level=par3))
(r.w <- t.test(z[,par1],z[,par2],var.equal=FALSE,alternative=par4,paired=paired,mu=par6,conf.level=par3))
(w.t <- wilcox.test(z[,par1],z[,par2],alternative=par4,paired=paired,mu=par6,conf.level=par3))
(ks.t <- ks.test(z[,par1],z[,par2],alternative=par4))
m1 <- mean(z[,par1],na.rm=T)
m2 <- mean(z[,par2],na.rm=T)
mdiff <- m1 - m2
newsam1 <- z[!is.na(z[,par1]),par1]
newsam2 <- z[,par2]+mdiff
newsam2 <- newsam2[!is.na(newsam2)]
(ks1.t <- ks.test(newsam1,newsam2,alternative=par4))
mydf <- data.frame(cbind(z[,par1],z[,par2]))
colnames(mydf) <- c('Variable 1','Variable 2')
bitmap(file='test1.png')
boxplot(mydf, notch=TRUE, ylab='value',main=main)
dev.off()
bitmap(file='test2.png')
qqnorm(z[,par1],main='Normal QQplot - Variable 1')
qqline(z[,par1])
dev.off()
bitmap(file='test3.png')
qqnorm(z[,par2],main='Normal QQplot - Variable 2')
qqline(z[,par2])
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Two Sample t-test (',par5,')',sep=''),2,TRUE)
a<-table.row.end(a)
if(!paired){
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 1',header=TRUE)
a<-table.element(a,r.t$estimate[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 2',header=TRUE)
a<-table.element(a,r.t$estimate[[2]])
a<-table.row.end(a)
} else {
a<-table.row.start(a)
a<-table.element(a,'Difference: Mean1 - Mean2',header=TRUE)
a<-table.element(a,r.t$estimate)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,'t-stat',header=TRUE)
a<-table.element(a,r.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'df',header=TRUE)
a<-table.element(a,r.t$parameter[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,r.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,r.t$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,r.t$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI Level',header=TRUE)
a<-table.element(a,attr(r.t$conf.int,'conf.level'))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI',header=TRUE)
a<-table.element(a,paste('[',r.t$conf.int[1],',',r.t$conf.int[2],']',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'F-test to compare two variances',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'F-stat',header=TRUE)
a<-table.element(a,v.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'df',header=TRUE)
a<-table.element(a,v.t$parameter[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,v.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,v.t$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,v.t$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI Level',header=TRUE)
a<-table.element(a,attr(v.t$conf.int,'conf.level'))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI',header=TRUE)
a<-table.element(a,paste('[',v.t$conf.int[1],',',v.t$conf.int[2],']',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Welch Two Sample t-test (',par5,')',sep=''),2,TRUE)
a<-table.row.end(a)
if(!paired){
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 1',header=TRUE)
a<-table.element(a,r.w$estimate[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 2',header=TRUE)
a<-table.element(a,r.w$estimate[[2]])
a<-table.row.end(a)
} else {
a<-table.row.start(a)
a<-table.element(a,'Difference: Mean1 - Mean2',header=TRUE)
a<-table.element(a,r.w$estimate)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,'t-stat',header=TRUE)
a<-table.element(a,r.w$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'df',header=TRUE)
a<-table.element(a,r.w$parameter[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,r.w$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,r.w$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,r.w$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI Level',header=TRUE)
a<-table.element(a,attr(r.w$conf.int,'conf.level'))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI',header=TRUE)
a<-table.element(a,paste('[',r.w$conf.int[1],',',r.w$conf.int[2],']',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Wicoxon rank sum test with continuity correction (',par5,')',sep=''),2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'W',header=TRUE)
a<-table.element(a,w.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,w.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,w.t$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,w.t$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Kolmogorov-Smirnov Test to compare Distributions of two Samples',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'KS Statistic',header=TRUE)
a<-table.element(a,ks.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,ks.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'KS Statistic',header=TRUE)
a<-table.element(a,ks1.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,ks1.t$p.value)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')